In this paper the genetic algorithm is described, applications in the field of statistics are indicated and it is applied to the estimation of the parameters of a Johnson-type distribution. The convergence behaviour is analyzed with respect to the mutation probability, the kind of mutations and...

Proofs for the consistency of the kernel density estimator have historically developed. Four important milestones are the pointwise consistency, the almost sure uniform convergence, the rate of convergence on a bounded interval and the rate of convergence on R. The underlying concepts of total...